Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow
UNSPECIFIED (2004) Repulsion and quantization in almost-harmonic maps, and asymptotics of the harmonic map flow. ANNALS OF MATHEMATICS, 159 (2). pp. 465-534. ISSN 0003-486XFull text not available from this repository.
We present an analysis of bounded-energy low-tension maps between 2-spheres. By deriving sharp estimates for the ratio of length scales on which bubbles of opposite orientation develop, we show that we can establish a 'quantization estimate' which constrains the energy of the map to lie near to a discrete energy spectrum. One application is to the asymptotics of the harmonic map flow; we find uniform exponential convergence in time, in the case under consideration.
|Item Type:||Journal Article|
|Subjects:||Q Science > QA Mathematics|
|Journal or Publication Title:||ANNALS OF MATHEMATICS|
|Number of Pages:||70|
|Page Range:||pp. 465-534|
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